This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.
(3/8) : (1/6) = 9/ = 2 1/ = 2.25Spelled result in words is nine quarters (or two and one quarter).
How do we solve fractions step by step?
- Divide: 3/ : 1/ = 3/ · 6/ = 3 · 6/ = 18/ = 2 · 9 / = 9/
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/ is 6/) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 9/.
In other words - three eighths divided by one sixth is nine quarters.
Rules for expressions with fractions:Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.
Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
|Symbol||Symbol name||Symbol Meaning||Example|
|+||plus sign||addition||1/2 + 1/3|
|-||minus sign||subtraction||1 1/2 - 2/3|
|*||asterisk||multiplication||2/3 * 3/4|
|×||times sign||multiplication||2/3 × 5/6|
|:||division sign||division||1/2 : 3|
|/||division slash||division||1/3 / 5|
|:||colon||complex fraction||1/2 : 1/3|
|^||caret||exponentiation / power||1/4^3|
|()||parentheses||calculate expression inside first||-3/5 - (-1/4)|
Fractions in word problems:
- Mrs. Glover
Mrs. Glover is making brownies for the girls' tennis team. She took 1/5 of the leftover brownies to school to give to her three friends. How much did each friend get?
- One half 2
One-half pizza will be divided among three pupils. Each pupil receives 1/6. Is it true or false?
- Divide 6677
How do we call one part when we divide the whole into 5 (6,7,8,9,10) equal parts?
- Pieces of wood
How many pieces of wood can each student have if there are 12 pieces and each student needs 1/4 of a piece?
- Divide fractions by half
Find the result of division by half: 3/4 : 1/2 =?
more math problems »